Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/443,2502/492
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 898,2502
Greatest Common Factor of Numerators i.e. GCF of 898,2502 is 2 .
LCM of Denominators means LCM of 443,492 as per the given fractions.
LCM of 443,492 is 217956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 898,2502
2 | 898, 2502 |
449, 1251 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 2502
List of positive integer factors of 2502 that divides 2502 without a remainder.
1,2,3,6,9,18,139,278,417,834,1251,2502
Greatest Common Factor
We found the factors 898,2502 . The biggest common factor number is the GCF number.
So the greatest common factor 898,2502 is 2.
Lets's calculate LCM of 443,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 217956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/217956
Therefore, the GCF of Fractions 898/443,2502/492 is 2/217956
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 443,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,492) x common factors =1 x 1 = 1
LCM(443,492) = ( 443 × 492 ) / 1
LCM(443,492) = 217956 / 1
LCM(443,492) = 217956
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 898/443, 2502/492?
Answer: GCF of Numerators as per given numbers 898/443, 2502/492 is
GCF of Numerators i.e. for 898,2502 is 2
LCM of denominators i.e. for 443,492 is 217956.
Thus, GCF of Fractions is 2/217956.Finally, GCF of Fractions for 898/443, 2502/492 is 2/217956.